Use StatKey or other technology to find the correlation for the following data.
X 12 18 24 30 36 42 48 54
Y 577 586 572 550 558 532 505 469
The correlation is r=
Solution:
X | Y | XY | X2 | Y2 | |
12 | 577 | 6924 | 144 | 332929 | |
18 | 586 | 10548 | 324 | 343396 | |
24 | 572 | 13728 | 576 | 327184 | |
30 | 550 | 16500 | 900 | 302500 | |
36 | 558 | 20088 | 1296 | 311364 | |
42 | 532 | 22344 | 1764 | 283024 | |
48 | 505 | 24240 | 2304 | 255025 | |
54 | 469 | 25326 | 2916 | 219961 | |
SUM | 264 | 4349 | 139698 | 10224 | 2375383 |
The correlation r is given by
Putting values we get ,
r = -0.92979
The correlation is r = -0.92979
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